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Vibration Analysis of a Deep Beam
Introduction
This model studies free and forced vibrations of a deep beam. With the increase of the ratio of section area per beam length, shear deformations and rotational inertia effects can no longer be neglected as it is done in the Euler–Bernoulli theory.
The solution for Eigenfrequency, frequency response and transient analysis are computed using a Timoshenko beam and compared with analytical results.
Model Definition
The model studied in this example consists of a simply supported beam with a square cross section. One end is pinned and has a constrained rotation along the beam axis. At the other end, the displacements in the plane of the beam cross section are constrained.
For the forced vibration cases, a load in the y direction is applied all along the beam.
GEOMETRY
•
Beam length, L = 10 m
•
Beam cross section dimension l = 2 m
Material
•
Young’s modulus, E = 200 GPa
•
Poisson’s ratio, ν = 0.3
•
Mass density, ρ = 8000 kg/m3
Damping
The Rayleigh damping coefficients are α = 5.36 s-1, β = 7.46·10−5 m/s. The damping ratio curve is shown in Figure 1.
Figure 1: The damping ratio curve.
Constraints
At x = 0, the displacements are u = v = w = 0 and the rotation around the x-axis is fixed at θx = 0
At x = 10, v = w = 0
Load cases
The load with a magnitude F0 = 106 N/m is applied and oriented in the local positive y direction. The following forced vibration cases are studied:
•
Harmonic response at a frequency of 20 Hz
•
Periodic response with the force distribution ,
where f = 20 Hz
•
Transient response using a suddenly applied step load
Mesh
To satisfy the benchmark specifications, five edge elements are used to mesh the geometry.
Results and Discussion
Free vibration
In Table 1 the computed results are compared with the analytical results for the free vibration case. The agreement is good. The accuracy decreases with increasing complexity of the mode shape because the possibility for the relatively coarse mesh to describe such a shape is limited.
Table 1: Comparison between analytical and computed natural frequencies.
Mode number
Analytical frequency (Hz)
COMSOL result (Hz)
Error (%)
Type
1, 2
42.65
42.66
4.7e-2
Flexural
3
71.2
71.51
0.4
Torsional
4
125
125.51
0.4
Extensional
5, 6
148.15
150.32
1.5
Flexural
7
213.61
221.62
3.7
Torsional
8, 9
283.47
299.79
5.7
Flexural
Harmonic Forced Vibration
In Table 2 the computed results are compared with the analytical results for the harmonic forced vibration case. The agreement is good.
Table 2: Comparison between analytical and computed Harmonic responses.
 
Reference
COMSOL
Error (%)
Peak displacement (mm)
13.45
13.42
0.2
Peak stress (MPa)
241.9
238.6
1.4
Frequency (Hz)
42.65
42.65
0
In Figure 2 the displacement at the middle of the beam is shown versus the frequency.
Figure 2: Displacement versus frequency, harmonic response.
In Figure 2 the bending stress at the middle of the beam is shown versus the frequency.
Figure 3: Bending stress versus frequency, harmonic response.
Periodic Forced Vibration
In Table 3 the computed results are compared with the analytical results. The agreement is good. The accuracy decreases with increasing complexity of the mode shape because the possibility for the relatively coarse mesh to describe such a shape is limited.
Table 3: Comparison between analytical and computed periodic responses.
 
Reference
COMSOL
Error (%)
Peak displacement (mm)
0.951
0.948
0.3
Peak stress (MPa)
17.1
16.95
0.8
In Figure 4 the displacement at the middle of the beam is shown versus the time.
Figure 4: Displacement versus time, periodic response.
In Figure 5 the bending stress at the middle of the beam is shown versus the time.
Figure 5: Bending stress versus time, periodic response.
Transient Forced Response
In Table 4 the computed results are compared with the analytical results. The agreement is good. The accuracy decreases with increasing complexity of the mode shape because the possibility for the relatively coarse mesh to describe such a shape is limited.
Table 4: Comparison between analytical and computed transient responses.
 
Reference
COMSOL
Error (%)
Peak displacement (mm)
1.043
1.037
0.6
Peak stress (MPa)
18.76
18.14
3.3
Peak time (s)
0.0117
0.0117
0
Static displacement
0.538
0.534
0.7
In Figure 6 the displacement at the middle of the beam is shown versus the time.
Figure 6: Displacement versus time, transient response.
Notes About the COMSOL Implementation
The Damping Settings section provides two action buttons for visualizing the damping ratio with respect to frequency. The first button shows a dynamic preview plot of the damping ratio, while the second button generates a plot under the Results node.
Reference
1. J. Maguire, D.J. Dawswell, and L. Gould, Selected Benchmarks for Forced Vibration, NAFEMS, Glasgow, 1989.
Application Library path: Structural_Mechanics_Module/Verification_Examples/vibrating_deep_beam
Modeling Instructions
From the File menu, choose New.
New
In the New window, click  Model Wizard.
Model Wizard
1
In the Model Wizard window, click  3D.
2
In the Select Physics tree, select Structural Mechanics > Beam (beam).
3
Click Add.
4
Click  Study.
5
In the Select Study tree, select General Studies > Eigenfrequency.
6
Click  Done.
Global Definitions
Parameters 1
1
In the Model Builder window, under Global Definitions click Parameters 1.
2
In the Settings window for Parameters, locate the Parameters section.
3
In the table, enter the following settings:
Name
Expression
Value
L
10[m]
10 m
F0
1e6[N/m]
1E6 N/m
Geometry 1
Polygon 1 (pol1)
1
In the Geometry toolbar, click  More Primitives and choose Polygon.
2
In the Settings window for Polygon, locate the Coordinates section.
3
In the table, enter the following settings:
x (m)
y (m)
z (m)
0
0
0
L
0
0
Form Union (fin)
1
In the Model Builder window, click Form Union (fin).
2
In the Settings window for Form Union/Assembly, click  Build Selected.
Materials
Material 1 (mat1)
1
In the Model Builder window, under Component 1 (comp1) right-click Materials and choose Blank Material.
2
In the Settings window for Material, locate the Material Contents section.
3
In the table, enter the following settings:
Property
Variable
Value
Unit
Property group
Young’s modulus
E
2e11
Pa
Young’s modulus and Poisson’s ratio
Poisson’s ratio
nu
0.3
1
Young’s modulus and Poisson’s ratio
Density
rho
8000
kg/m³
Basic
Beam (beam)
1
In the Model Builder window, under Component 1 (comp1) click Beam (beam).
2
In the Settings window for Beam, locate the Beam Formulation section.
3
From the list, choose Timoshenko.
Cross-Section Data 1
1
In the Model Builder window, under Component 1 (comp1) > Beam (beam) click Cross-Section Data 1.
2
In the Settings window for Cross-Section Data, locate the Cross-Section Definition section.
3
From the Section type list, choose Rectangle.
4
In the hy text field, type 2.
5
In the hz text field, type 2.
Section Orientation 1
1
In the Model Builder window, click Section Orientation 1.
2
In the Settings window for Section Orientation, locate the Section Orientation section.
3
From the Orientation method list, choose Orientation vector.
4
Specify the V vector as
0
X
0
Y
1
Z
Prescribed Displacement/Rotation 1
1
In the Physics toolbar, click  Points and choose Prescribed Displacement/Rotation.
2
Select Point 1 only.
3
In the Settings window for Prescribed Displacement/Rotation, locate the Prescribed Displacement section.
4
From the Displacement in x direction list, choose Prescribed.
5
From the Displacement in y direction list, choose Prescribed.
6
From the Displacement in z direction list, choose Prescribed.
7
Locate the Prescribed Rotation section. From the list, choose Rotation.
8
Select the Free rotation around y direction checkbox.
9
Select the Free rotation around z direction checkbox.
Prescribed Displacement/Rotation 2
1
In the Physics toolbar, click  Points and choose Prescribed Displacement/Rotation.
2
Select Point 2 only.
3
In the Settings window for Prescribed Displacement/Rotation, locate the Prescribed Displacement section.
4
From the Displacement in y direction list, choose Prescribed.
5
From the Displacement in z direction list, choose Prescribed.
Mesh 1
Edge 1
1
In the Mesh toolbar, click  More Generators and choose Edge.
2
In the Settings window for Edge, locate the Edge Selection section.
3
From the Geometric entity level list, choose Entire geometry.
Distribution 1
1
Right-click Edge 1 and choose Distribution.
2
Right-click Distribution 1 and choose Build All.
Free Vibration
1
In the Model Builder window, click Study 1.
2
In the Settings window for Study, type Free Vibration in the Label text field.
Step 1: Eigenfrequency
1
In the Model Builder window, under Free Vibration click Step 1: Eigenfrequency.
2
In the Settings window for Eigenfrequency, locate the Study Settings section.
3
Select the Desired number of eigenfrequencies checkbox. In the associated text field, type 10.
4
In the Search for eigenfrequencies around shift text field, type 40.
To get all eigenfrequencies, including the duplicates at higher frequency, set a tighter tolerance in the solver sequence by following the steps below.
Solution 1 (sol1)
1
In the Study toolbar, click  Show Default Solver.
2
In the Model Builder window, expand the Solution 1 (sol1) node, then click Eigenvalue Solver 1.
3
In the Settings window for Eigenvalue Solver, locate the General section.
4
In the Relative tolerance text field, type 1.0E-15.
5
Click  Run to Selected.
Set default units for result presentation.
Results
Preferred Units 1
1
In the Results toolbar, click  Configurations and choose Preferred Units.
2
In the Settings window for Preferred Units, locate the Units section.
3
Click  Add Physical Quantity.
4
In the Physical Quantity dialog, select General > Displacement (m) in the tree.
5
Click OK.
6
In the Settings window for Preferred Units, locate the Units section.
7
In the table, enter the following settings:
Quantity
Unit
Preferred unit
Displacement
m
mm
8
Click  Add Physical Quantity.
9
In the Physical Quantity dialog, select Solid Mechanics > Stress tensor (N/m^2) in the tree.
10
Click OK.
11
In the Settings window for Preferred Units, locate the Units section.
12
In the table, enter the following settings:
Quantity
Unit
Preferred unit
Stress tensor
N/m^2
MPa
13
Click  Apply.
Change the Radius scale factor to 0.1 for better visualization.
Line 1
1
In the Model Builder window, expand the Mode Shape (beam) node, then click Line 1.
2
In the Settings window for Line, locate the Coloring and Style section.
3
In the Radius scale factor text field, type 0.1.
Beam (beam)
Edge Load 1
1
In the Physics toolbar, click  Edges and choose Edge Load.
2
In the Settings window for Edge Load, locate the Edge Selection section.
3
From the Selection list, choose All edges.
4
Locate the Force section. Specify the fL vector as
0
X
0
Y
F0
Z
5
Right-click Edge Load 1 and choose Harmonic Perturbation.
Linear Elastic Material 1
In the Model Builder window, click Linear Elastic Material 1.
Damping 1
1
In the Physics toolbar, click  Attributes and choose Damping.
2
In the Settings window for Damping, locate the Damping Settings section.
3
In the αdM text field, type 5.36.
4
In the βdK text field, type 7.46e-5.
In order to visualize the damping ratio curve, create the Damping Ratio plot through an action button from the Damping Settings section.
5
Click Damping Ratio Preview in the upper-right corner of the Damping Settings section. From the menu, choose Create Damping Ratio Plot.
Results
Damping Ratio Plot
1
In the Model Builder window, under Results click Damping Ratio Plot.
2
In the Damping Ratio Plot toolbar, click  Plot.
Add Study
1
In the Home toolbar, click  Add Study to open the Add Study window.
2
Go to the Add Study window.
3
Find the Studies subsection. In the Select Study tree, select Preset Studies for Selected Physics Interfaces > Frequency Domain, Modal.
4
Click the Add Study button in the window toolbar.
5
In the Home toolbar, click  Add Study to close the Add Study window.
Harmonic Forced Vibration
1
In the Settings window for Study, type Harmonic Forced Vibration in the Label text field.
2
Locate the Study Settings section. Clear the Generate default plots checkbox.
Step 2: Frequency Domain, Modal
1
In the Model Builder window, under Harmonic Forced Vibration click Step 2: Frequency Domain, Modal.
2
In the Settings window for Frequency Domain, Modal, locate the Study Settings section.
3
In the Frequencies text field, type range(0,2,38) range(40,5e-2,45) range(46,2,60).
4
In the Study toolbar, click  Compute.
Results
Cut Point 3D 1
1
In the Results toolbar, click  Cut Point 3D.
2
In the Settings window for Cut Point 3D, locate the Data section.
3
From the Dataset list, choose Harmonic Forced Vibration/Solution 2 (sol2).
4
Locate the Point Data section. In the X text field, type L/2.
5
In the Y text field, type 0.
6
In the Z text field, type 0.
Harmonic Peak Displacement
1
In the Results toolbar, click  1D Plot Group.
2
In the Settings window for 1D Plot Group, type Harmonic Peak Displacement in the Label text field.
3
Locate the Data section. From the Dataset list, choose Cut Point 3D 1.
4
Click to expand the Title section. From the Title type list, choose Label.
Point Graph 1
1
Right-click Harmonic Peak Displacement and choose Point Graph.
2
In the Settings window for Point Graph, locate the y-Axis Data section.
3
In the Expression text field, type beam.uAmpZ.
4
In the Harmonic Peak Displacement toolbar, click  Plot.
Harmonic Peak Stress
1
In the Model Builder window, right-click Harmonic Peak Displacement and choose Duplicate.
2
In the Settings window for 1D Plot Group, type Harmonic Peak Stress in the Label text field.
Point Graph 1
1
In the Model Builder window, expand the Harmonic Peak Stress node, then click Point Graph 1.
2
In the Settings window for Point Graph, locate the y-Axis Data section.
3
In the Expression text field, type abs(beam.sb1).
4
In the Harmonic Peak Stress toolbar, click  Plot.
Harmonic Peak Displacement
1
In the Results toolbar, click  More Derived Values and choose Maximum > Line Maximum.
2
In the Settings window for Line Maximum, type Harmonic Peak Displacement in the Label text field.
3
Locate the Data section. From the Dataset list, choose Harmonic Forced Vibration/Solution 2 (sol2).
4
From the Parameter selection (freq) list, choose From list.
5
In the Parameter values (freq (Hz)) list box, select 42.65.
6
Select Edge 1 only.
7
Locate the Expressions section. In the table, enter the following settings:
Expression
Unit
Description
beam.uAmpZ
mm
Displacement amplitude, Z-component
8
Click  Evaluate.
Harmonic Peak Stress
1
Right-click Harmonic Peak Displacement and choose Duplicate.
2
In the Settings window for Line Maximum, type Harmonic Peak Stress in the Label text field.
3
Locate the Expressions section. In the table, enter the following settings:
Expression
Unit
abs(beam.sb1)
MPa
4
Clicknext to  Evaluate, then choose New Table.
Definitions
Interpolation 1 (int1)
1
In the Definitions toolbar, click  Interpolation.
2
In the Settings window for Interpolation, locate the Definition section.
3
In the Function name text field, type phase.
4
In the table, enter the following settings:
t
f(t)
20
-pi/2
60
pi/2
5
Locate the Interpolation and Extrapolation section. From the Interpolation list, choose Nearest neighbor.
6
Locate the Units section. In the Argument table, enter the following settings:
Argument
Unit
t
Hz
7
In the Function table, enter the following settings:
Function
Unit
phase
rad
Beam (beam)
Edge Load 2
1
In the Physics toolbar, click  Edges and choose Edge Load.
2
Select Edge 1 only.
3
In the Settings window for Edge Load, locate the Force section.
4
Specify the fL vector as
0
X
0
Y
F0
Z
Phase 1
1
In the Physics toolbar, click  Attributes and choose Phase.
2
In the Settings window for Phase, locate the Load Phase section.
3
Specify the ϕ vector as
0
x
0
y
phase(freq)
z
Add Study
1
In the Home toolbar, click  Add Study to open the Add Study window.
2
Go to the Add Study window.
3
Find the Studies subsection. In the Select Study tree, select General Studies > Frequency Domain.
4
Right-click and choose Add Study.
5
In the Home toolbar, click  Add Study to close the Add Study window.
Study 3
Step 1: Frequency Domain
1
In the Settings window for Frequency Domain, locate the Study Settings section.
2
In the Frequencies text field, type 20 60.
3
Locate the Physics and Variables Selection section. Select the Modify model configuration for study step checkbox.
4
In the tree, select Component 1 (comp1) > Beam (beam) > Edge Load 1.
5
Right-click and choose Disable.
Step 2: Frequency to Time FFT
1
In the Study toolbar, click  More Study Steps and choose Time Dependent > Frequency to Time FFT.
2
In the Settings window for Frequency to Time FFT, locate the Study Settings section.
3
In the Times text field, type range(0.0,1/(200*20),1/20).
4
From the Scaling list, choose Discrete Fourier transform.
5
Locate the Physics and Variables Selection section. Select the Modify model configuration for study step checkbox.
6
In the tree, select Component 1 (comp1) > Beam (beam) > Edge Load 1.
Solution 4 (sol4)
1
In the Study toolbar, click  Show Default Solver.
2
In the Model Builder window, expand the Solution 4 (sol4) node, then click FFT Solver 1.
3
In the Settings window for FFT Solver, locate the General section.
4
From the Defined by study step list, choose User defined.
5
In the Model Builder window, click Study 3.
6
In the Settings window for Study, type Periodic Forced Vibration in the Label text field.
7
Locate the Study Settings section. Clear the Generate default plots checkbox.
8
In the Study toolbar, click  Compute.
Results
Cut Point 3D 2
1
In the Results toolbar, click  Cut Point 3D.
2
In the Settings window for Cut Point 3D, locate the Data section.
3
From the Dataset list, choose Periodic Forced Vibration/Solution 4 (sol4).
4
Locate the Point Data section. In the X text field, type L/2.
5
In the Y text field, type 0.
6
In the Z text field, type 0.
Periodic Peak Displacement
1
In the Results toolbar, click  1D Plot Group.
2
In the Settings window for 1D Plot Group, type Periodic Peak Displacement in the Label text field.
3
Locate the Data section. From the Dataset list, choose Cut Point 3D 2.
4
Locate the Title section. From the Title type list, choose Label.
Point Graph 1
1
Right-click Periodic Peak Displacement and choose Point Graph.
2
In the Settings window for Point Graph, locate the y-Axis Data section.
3
In the Expression text field, type w.
4
In the Periodic Peak Displacement toolbar, click  Plot.
Periodic Peak Stress
1
In the Model Builder window, right-click Periodic Peak Displacement and choose Duplicate.
2
In the Settings window for 1D Plot Group, type Periodic Peak Stress in the Label text field.
Point Graph 1
1
In the Model Builder window, expand the Periodic Peak Stress node, then click Point Graph 1.
2
In the Settings window for Point Graph, locate the y-Axis Data section.
3
In the Expression text field, type beam.sb1.
4
In the Periodic Peak Stress toolbar, click  Plot.
Periodic Peak Displacement
1
In the Results toolbar, click  More Derived Values and choose Maximum > Line Maximum.
2
In the Settings window for Line Maximum, type Periodic Peak Displacement in the Label text field.
3
Locate the Data section. From the Dataset list, choose Periodic Forced Vibration/Solution 4 (sol4).
4
Select Edge 1 only.
5
Locate the Expressions section. In the table, enter the following settings:
Expression
Unit
abs(w)
mm
6
Locate the Data Series Operation section. From the Transformation list, choose Maximum.
7
Click  Evaluate.
Periodic Peak Stress
1
Right-click Periodic Peak Displacement and choose Duplicate.
2
In the Settings window for Line Maximum, type Periodic Peak Stress in the Label text field.
3
Locate the Expressions section. In the table, enter the following settings:
Expression
Unit
abs(beam.sb1)
MPa
4
Clicknext to  Evaluate, then choose New Table.
Beam (beam)
Edge Load 3
1
In the Physics toolbar, click  Edges and choose Edge Load.
2
In the Settings window for Edge Load, locate the Edge Selection section.
3
From the Selection list, choose All edges.
4
Locate the Force section. Specify the fL vector as
0
X
0
Y
F0
Z
Add Study
1
In the Home toolbar, click  Add Study to open the Add Study window.
2
Go to the Add Study window.
3
Find the Studies subsection. In the Select Study tree, select General Studies > Time Dependent.
4
Click the Add Study button in the window toolbar.
5
In the Home toolbar, click  Add Study to close the Add Study window.
Study 4
Step 1: Time Dependent
1
In the Settings window for Time Dependent, locate the Study Settings section.
2
In the Output times text field, type range(0,1e-4,1.2e-2) range(1.3e-2,1e-3,1.2).
3
Locate the Physics and Variables Selection section. Select the Modify model configuration for study step checkbox.
4
In the tree, select Component 1 (comp1) > Beam (beam) > Edge Load 1.
5
Click  Disable.
6
In the tree, select Component 1 (comp1) > Beam (beam) > Edge Load 2.
7
Click  Disable.
8
In the Model Builder window, click Study 4.
9
In the Settings window for Study, type Transient Forced Vibration in the Label text field.
10
Locate the Study Settings section. Clear the Generate default plots checkbox.
Solution 6 (sol6)
1
In the Study toolbar, click  Show Default Solver.
2
In the Model Builder window, expand the Solution 6 (sol6) node.
3
In the Model Builder window, expand the Transient Forced Vibration > Solver Configurations > Solution 6 (sol6) > Dependent Variables 1 node, then click Displacement Field (comp1.u).
4
In the Settings window for Field, locate the Scaling section.
5
In the Scale text field, type 1e-4.
6
In the Model Builder window, under Transient Forced Vibration > Solver Configurations > Solution 6 (sol6) click Time-Dependent Solver 1.
7
In the Settings window for Time-Dependent Solver, click to expand the Time Stepping section.
8
From the Steps taken by solver list, choose Intermediate.
9
Click  Run.
Results
Cut Point 3D 3
1
In the Results toolbar, click  Cut Point 3D.
2
In the Settings window for Cut Point 3D, locate the Data section.
3
From the Dataset list, choose Transient Forced Vibration/Solution 6 (sol6).
4
Locate the Point Data section. In the X text field, type L/2.
5
In the Y text field, type 0.
6
In the Z text field, type 0.
Transient Peak Displacement
1
In the Results toolbar, click  1D Plot Group.
2
In the Settings window for 1D Plot Group, type Transient Peak Displacement in the Label text field.
3
Locate the Data section. From the Dataset list, choose Cut Point 3D 3.
4
Locate the Title section. From the Title type list, choose Label.
5
Locate the Plot Settings section.
6
Select the x-axis label checkbox. In the associated text field, type Time (s).
7
Select the y-axis label checkbox. In the associated text field, type Displacement (mm).
8
Locate the Axis section. Select the Manual axis limits checkbox.
9
In the x minimum text field, type -1e-2.
10
In the x maximum text field, type 0.5.
11
In the y minimum text field, type -1e-2.
12
In the y maximum text field, type 1.1.
Point Graph 1
1
Right-click Transient Peak Displacement and choose Point Graph.
2
In the Settings window for Point Graph, locate the y-Axis Data section.
3
In the Expression text field, type w.
4
In the Transient Peak Displacement toolbar, click  Plot.
5
Click  Plot.
Transient Forced Vibration - Max Displacement
1
In the Results toolbar, click  More Derived Values and choose Maximum > Line Maximum.
2
In the Settings window for Line Maximum, type Transient Forced Vibration - Max Displacement in the Label text field.
3
Locate the Data section. From the Dataset list, choose Transient Forced Vibration/Solution 6 (sol6).
4
From the Time selection list, choose From list.
5
In the Times (s) list box, select 0.0117.
6
Select Edge 1 only.
7
Locate the Expressions section. In the table, enter the following settings:
Expression
Unit
Description
w
mm
Displacement field, Z-component
8
Locate the Data Series Operation section. From the Transformation list, choose Maximum.
9
Click  Evaluate.
Transient Forced Vibration - Max Stress
1
Right-click Transient Forced Vibration - Max Displacement and choose Duplicate.
2
In the Settings window for Line Maximum, type Transient Forced Vibration - Max Stress in the Label text field.
3
Locate the Expressions section. In the table, enter the following settings:
Expression
Unit
abs(beam.sb1)
MPa
4
Clicknext to  Evaluate, then choose New Table.
Transient Forced Vibration - Static Displacement
1
In the Model Builder window, right-click Transient Forced Vibration - Max Displacement and choose Duplicate.
2
In the Settings window for Line Maximum, type Transient Forced Vibration - Static Displacement in the Label text field.
3
Locate the Data section. From the Time selection list, choose Interpolated.
4
In the Times (s) text field, type range(1.1,1e-3,1.2).
5
Locate the Expressions section. In the table, enter the following settings:
Expression
Unit
Description
w
mm
Displacement field, Z-component
6
Locate the Data Series Operation section. From the Transformation list, choose Average.
7
Clicknext to  Evaluate, then choose New Table.
Table 8
1
Go to the Table 8 window.
The vibration analysis is now finished. If you want to save the model and run the study with the configuration set in the previous steps, you need to disable some of the nodes added after you run that particular study. If you do not want to save the model you do not need to follow the steps below.
Free Vibration
Step 1: Eigenfrequency
1
In the Model Builder window, under Free Vibration click Step 1: Eigenfrequency.
2
In the Settings window for Eigenfrequency, locate the Physics and Variables Selection section.
3
Select the Modify model configuration for study step checkbox.
4
In the tree, select Component 1 (comp1) > Beam (beam) > Linear Elastic Material 1 > Damping 1.
5
Right-click and choose Disable.
Harmonic Forced Vibration
Step 2: Frequency Domain, Modal
1
In the Model Builder window, under Harmonic Forced Vibration click Step 2: Frequency Domain, Modal.
2
In the Settings window for Frequency Domain, Modal, locate the Physics and Variables Selection section.
3
Select the Modify model configuration for study step checkbox.
4
In the tree, select Component 1 (comp1) > Beam (beam) > Edge Load 2.
5
Click  Disable.
6
In the tree, select Component 1 (comp1) > Beam (beam) > Edge Load 3.
7
Click  Disable.
Periodic Forced Vibration
Step 1: Frequency Domain
1
In the Model Builder window, under Periodic Forced Vibration click Step 1: Frequency Domain.
2
In the Settings window for Frequency Domain, locate the Physics and Variables Selection section.
3
In the tree, select Component 1 (comp1) > Beam (beam) > Edge Load 3.
4
Click  Disable.
Step 2: Frequency to Time FFT
1
In the Model Builder window, click Step 2: Frequency to Time FFT.
2
In the Settings window for Frequency to Time FFT, locate the Physics and Variables Selection section.
3
In the tree, select Component 1 (comp1) > Beam (beam) > Edge Load 3.
4
Click  Disable.